Ch 50: OAE Middle Grades Math: Sets

About This Chapter

Watch these lesson videos and complete these quizzes to improve your understanding of mathematical sets and subsets as part of your preparations for the OAE Middle Grades Mathematics test.

OAE Middle Grades Math: Sets - Chapter Summary

Review this chapter to refresh your understanding of mathematical sets and the different types of subsets. Watch this series of lesson videos and follow along with our professional instructors as they explain cardinality, Cartesian products, Venn diagrams and categorical propositions. This chapter should prepare you for questions on the Ohio Assessments for Educators (OAE) Middle Grades Mathematics test asking you about:

  • Elements, intersections and unions of mathematical sets
  • Infinite, finite, equal and empty types of subsets
  • Finding the Cartesian product
  • Subsets, disjoints, overlaps, intersections and unions of Venn diagrams
  • Subjects, predicates, equivalents and infinite sets of categorical propositions
  • Changing categorical propositions to a standard form

These lesson videos are accompanied by assessments intended to aid in your review of the material presented. Use the quizzes to find the subjects you don't fully understand, and improve your mastery over this material by returning to the lessons via video tags or reading the lesson transcripts.

OAE Middle Grades Math: Sets Chapter Objectives

The OAE Middle Grades Mathematics exam tests educators' mastery over middle grade mathematics with a series of 150 computer-administered, multiple-choice questions. Twenty-five percent of these questions are part of the statistics, probability and discrete mathematics section. Use these lessons and assessments to increase your understanding of mathematical sets to improve your ability answering some of the questions in this section.

6 Lessons in Chapter 50: OAE Middle Grades Math: Sets
Test your knowledge with a 30-question chapter practice test
Mathematical Sets: Elements, Intersections & Unions

1. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

In this video, we will add to our knowledge of sets. We will talk about cardinality, infinite, finite, equal and the empty set. I think you will find these very straightforward, so let's begin.

How to Find the Cartesian Product

3. How to Find the Cartesian Product

The Cartesian product allows us to take two sets of mathematical objects and create one new one. With one simple idea, the Cartesian product becomes quick and easy.

Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

4. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.

Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

5. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

Watch this video lesson to learn how categorical propositions are written. You will also see what the subject and predicate are as well as learn about equivalent and infinite sets.

How to Change Categorical Propositions to Standard Form

6. How to Change Categorical Propositions to Standard Form

Watch this video lesson to learn what categorical propositions are and how you can turn your statements into one of the four standard forms. Also, learn the names of these four standard forms and what they look like.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide course

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